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Macroscopic diffusive fluctuations for generalized hard rods dynamics

Abstract

We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive value. We prove that in the diffusive space-time scaling, an initial fluctuation of density of particles of velocity v, after recentering on its Euler evolution, evolve randomly shifted by a Brownian motion of variance D(v).
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Dates and versions

hal-04102725 , version 1 (22-05-2023)
hal-04102725 , version 2 (18-07-2023)

Identifiers

  • HAL Id : hal-04102725 , version 2

Cite

Pablo A. Ferrari, Stefano Olla. Macroscopic diffusive fluctuations for generalized hard rods dynamics. 2023. ⟨hal-04102725v2⟩
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